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Supersymmetric Quantum Hall Effect on Fuzzy Supersphere

Kazuki Hasebe
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Abstract

Supersymmetric quantum Hall liquids are constructed on a supersphere in a supermonopole background. We derive a supersymmetric generalization of the Laughlin wavefunction, which is a ground state of a hard-core $OSp(1|2)$ invariant Hamiltonian. We also present excited topological objects, which are fractionally charged deficits made by super Hall currents. Several relations between quantum Hall systems and their supersymmetric extensions are discussed.

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Kazuki Hasebe. 2005-04-21. Supersymmetric Quantum Hall Effect on Fuzzy Supersphere. https://doi.org/10.1103/physrevlett.94.206802

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